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What is the Least Common Multiple of 15302 and 15317?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 15302 and 15317 is 234380734.

LCM(15302,15317) = 234380734

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Least Common Multiple of 15302 and 15317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15302 and 15317, than apply into the LCM equation.

GCF(15302,15317) = 1
LCM(15302,15317) = ( 15302 × 15317) / 1
LCM(15302,15317) = 234380734 / 1
LCM(15302,15317) = 234380734

Least Common Multiple (LCM) of 15302 and 15317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15302 and 15317. First we will calculate the prime factors of 15302 and 15317.

Prime Factorization of 15302

Prime factors of 15302 are 2, 7, 1093. Prime factorization of 15302 in exponential form is:

15302 = 21 × 71 × 10931

Prime Factorization of 15317

Prime factors of 15317 are 17, 53. Prime factorization of 15317 in exponential form is:

15317 = 172 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 15302 and 15317.

LCM(15302,15317) = 21 × 71 × 10931 × 172 × 531
LCM(15302,15317) = 234380734